3 papers
math.DS2021
Densely branching trees as models for Hénon-like and Lozi-like attractors
Jan Boroński, S. Štimac
Inspired by a recent work of Crovisier and Pujals on mildly dissipative diffeomorphisms of the plane, we show that Hénon-like and Lozi-like maps on their strange attractors are con…
math.GN2017
Ample continua in Cartesian products of continua
J. P. Boroński, D. R. Prier, M. Smith
We show that the Cartesian product of the arc and a solenoid has the fupcon property, therefore answering a question raised by Illanes. This combined with Illanes' result implies t…
math.DS2016
A compact minimal space such that its square is not minimal
J. P. Boronski, Alex Clark, P. Oprocha
The following well known open problem is answered in the negative: Given two compact spaces and that admit minimal homeomorphisms, must the Cartesian product ad…